Question

Number as the sum of digits of some degree

score 324 · Answer 1 · 2026-04-13 08:48:41

324

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Number as the sum of digits of some degree

Published on 13 Apr 2026 - 8:48

score 214 · Answer 2 · 2026-04-15 04:07:27

214

Views

$n^2 \equiv (p-1) \mod p$ where $p$ is a Pythagorean prime.

Published on 15 Apr 2026 - 4:07

score 53 · Answer 3 · 2026-04-13 17:16:50

53

Views

Express a number as an product of $q$ factors such that the maximum factor is minimised.

Published on 13 Apr 2026 - 17:16

score 327 · Answer 4 · 2026-04-17 04:21:41

327

Views

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

Published on 17 Apr 2026 - 4:21

score 69 · Answer 5 · 2026-04-10 20:12:58

69

Views

A Banach–Tarski-paradox-like question

Published on 10 Apr 2026 - 20:12

score 173 · Answer 6 · 2026-04-14 06:06:52

173

Views

Showing an irrational number has bounded partial quotients if the following inequality holds

Published on 14 Apr 2026 - 6:06

score 108 · Answer 7 · 2026-04-18 22:18:39

108

Views

Magic Crossword...

Published on 18 Apr 2026 - 22:18

score 63 · Answer 8 · 2026-04-16 23:28:54

63

Views

Find an element of order $5$ of the field $\mathbb{Z}_3[x]/\langle x^4 + x + 2 \rangle$.

Published on 16 Apr 2026 - 23:28

score 72 · Answer 9 · 2026-04-16 11:06:06

72

Views

Is it true that if $(a,b) = 1$, then $(2^a - 1, 2 ^ b -1) = 1$?

Published on 16 Apr 2026 - 11:06

score 119 · Answer 10 · 2026-04-23 16:24:19

119

Views

Is there a lower bound for $\operatorname{rad}(n)$ in terms of $n \in \mathbb{N}$?

Published on 23 Apr 2026 - 16:24

score 276 · Answer 11 · 2026-04-13 17:50:53

276

Views

Mobius function of the power set

Published on 13 Apr 2026 - 17:50

score 775 · Answer 12 · 2026-04-09 22:57:18

775

Views

Classification of the positive integers not being the sum of four non-zero squares

Published on 09 Apr 2026 - 22:57

score 1.6k · Answer 13 · 2026-04-14 19:55:16

1.6k

Views

$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

Published on 14 Apr 2026 - 19:55

score 322 · Answer 14 · 2026-04-16 11:17:44

322

Views

which of the following can be expressed by exact length but not by exact number?

Published on 16 Apr 2026 - 11:17

score 47 · Answer 15 · 2026-04-14 05:37:24

47

Views

What is the general form of the naturals numbers that have a divisor beyond 1 and himself?

Published on 14 Apr 2026 - 5:37

List Question

Number as the sum of digits of some degree

$n^2 \equiv (p-1) \mod p$ where $p$ is a Pythagorean prime.

Express a number as an product of $q$ factors such that the maximum factor is minimised.

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

A Banach–Tarski-paradox-like question

Showing an irrational number has bounded partial quotients if the following inequality holds

Magic Crossword...

Find an element of order $5$ of the field $\mathbb{Z}_3[x]/\langle x^4 + x + 2 \rangle$.

Is it true that if $(a,b) = 1$, then $(2^a - 1, 2 ^ b -1) = 1$?

Is there a lower bound for $\operatorname{rad}(n)$ in terms of $n \in \mathbb{N}$?

Mobius function of the power set

Classification of the positive integers not being the sum of four non-zero squares

$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

which of the following can be expressed by exact length but not by exact number?

What is the general form of the naturals numbers that have a divisor beyond 1 and himself?

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